Under a capitalist system, anyone or any group that wishes to practice socialism can do so. Communes, co-op businesses, 100% profit sharing enterprises can all be created by voluntary associations of people who are disgusted with the notion of profit.
On the other hand, you cannot have a capitalist business model under socialism.
To put it another way, capitalism is a misnomer.
When we refer to “capitalism”, we are actually referring to an economic system free from force. “Capitalist” modes of production become the prevalent model because it ends up being more efficient than enterprises run as co-ops, but any economic organization is allowed under capitalism, as long as its voluntary
“Capitalism” as we commonly understand it includes both capitalist enterprises AND all other voluntary economic associations.
In cities like Madison, Wisc and Austin there are tons of co-op stores
Yes, this has been mentioned whenever people bring up democratic socialism (worker owned cooperatives), that it's simply capitalism with a different ownership structure.
However, it's not quite accurate that it's as easy to start up a worker coop as it is a private business as cooperative and banking laws/regulations make it harder for worker coops to get financing.
https://medium.com/fifty-by-fifty/are-cooperatives-really-so-difficult-to-finance-3adec81c70a8Socialist economics professor Richard Wolff discusses this as well:
https://youtu.be/a1WUKahMm1s?t=5153